{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 插值与拟合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import fsolve\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.interpolate import interp1d\n",
    "\n",
    "\n",
    "def eqs(d):\n",
    "    return lambda x : [x[0]**2 + x[1]**2 + x[2]**2 - d[0]**2,\n",
    "                       x[1]**2 + (x[1] - 4500)**2 + x[2]**2 - d[1]**2,\n",
    "                       (x[0] + 2000)**2 + (x[1] - 1500)**2 + x[2]**2 - d[2]**2]\n",
    "\n",
    "\n",
    "data = np.loadtxt('15.D 导弹.txt')\n",
    "t = data[:,0]\n",
    "coordinate = np.array([fsolve(eqs(data[i][1:]), [1,1,1]) for i in range(data.shape[0])]).T\n",
    "t = np.r_[t[:5], t[6:]]\n",
    "coordinate = np.c_[coordinate[:, :5], coordinate[:, 6:]]\n",
    "\n",
    "tt = np.linspace(data[:, 0].min(), data[:,0].max(), 100)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.subplot(1, 3, 1)\n",
    "plt.scatter(t, coordinate[0], c='r', label='Raw Data')\n",
    "f = interp1d(t, coordinate[0], kind=3)\n",
    "plt.plot(tt, f(tt), c='b', label='Interpolated Curve')\n",
    "plt.ylabel('x')\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(1, 3, 2)\n",
    "plt.scatter(t, coordinate[1], c='r', label='Raw Data')\n",
    "f = interp1d(t, coordinate[1], kind=3)\n",
    "plt.plot(tt, f(tt), c='b', label='Interpolated Curve')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.scatter(t, coordinate[2], c='r', label='Raw Data')\n",
    "f = interp1d(t, coordinate[2], kind=3)\n",
    "plt.plot(tt, f(tt), c='b', label='Interpolated Curve')\n",
    "plt.ylabel('z')\n",
    "plt.legend() \n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "scatter = ax.scatter(*coordinate, c=t, label='Raw Data')\n",
    "fig.colorbar(scatter)\n",
    "\n",
    "tt = np.linspace(data[:, 0].min(), data[:,0].max(), 100)\n",
    "f = interp1d(t, coordinate[0], kind=3)\n",
    "\n",
    "# ax.plot_surface(*coordinate, rstride=1, cstride=1, cmap='rainbow')\n",
    "\n",
    "ax.legend()\n",
    "ax.set_zlabel(r\"$z$\", fontsize=18)\n",
    "ax.set_ylabel(r\"$y$\", fontsize=18)\n",
    "ax.set_xlabel(r\"$x$\", fontsize=18)\n",
    "ax.legend()\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
